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math.DG2023
On the affine geometry of congruences of lines
J. W. Bruce, F. Tari
Congruences, or -parameter families of lines in -space are of interest in many situations, in particular in geometric optics. In this paper we consider elements of their geom…
math.DG2023
Binary differential equations associated to congruences of lines in Euclidean 3-space
J. W. Bruce, F. Tari
We study quotients of quadratic forms and associated polar lines in the projective plane. Our results, applied pointwise to quadratic differential forms, shed some light on classic…